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Finding the Fourth Proportional to 1,886.56, 2,823.46 and 1,423.17

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Solution

The fourth proportional to 1,886.56, 2,823.46 and 1,423.17 is: 2,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.56 : 2,823.46 = 1,423.17 : x
  2. Step 2: Convert to fraction form
    1,886.56/2,823.46 = 1,423.17/x
  3. Step 3: Cross multiply
    1,886.56x = 2,823.46 × 1,423.17
  4. Step 4: Simplify right side
    1,886.56x = 4,018,260.01
  5. Step 5: Solve for x
    x = 4,018,260.01/1,886.56
  6. Step 6: Final answer
    x = 2,129.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.